# Samit Dasgupta

My research is in algebraic number theory, specifically the explicit construction of units in number fields and points on abelian varieties. There are many classical conjectures regarding the relationships between these elements and special values of L-functions, such as the conjectures of Stark, Birch-Swinnerton-Dyer, and Beilinson. In my research I have made progress on these conjectures as well as stated and studied various generalizations and refinements that go beyond the world of L-functions. Much of my work uses the theory of modular forms and their associated Galois representations in order to shed light on these problems.

Bertolini, M, Castella, F, Darmon, H, Dasgupta, S, Prasanna, K, and Rotger, V. "P-adic L-functions and Euler systems: A tale in two trilogies." *Automorphic Forms and Galois Representations: volume1.* January 1, 2014. 52-101.
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Dasgupta, S, and Voight, J. "Sylvester’s problem and mock heegner points." *Proceedings of the American Mathematical Society* 146.8 (January 1, 2018): 3257-3273.
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Dasgupta, S, and Spieß, M. "Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units." *Journal of the European Mathematical Society* 20.11 (January 1, 2018): 2643-2683.
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Samit Dasgupta, , Mahesh Kakde, , and Kevin Ventullo, . "On the Gross–Stark Conjecture." *Annals of Mathematics* 188.3 (2018): 833-833.
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Dasgupta, S, and Spieß, M. "The Eisenstein cocycle and Gross’s tower of fields conjecture." *Annales Mathematiques Du Quebec* 40.2 (August 1, 2016): 355-376.
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Dasgupta, S. "Factorization of p-adic Rankin L-series." *Inventiones Mathematicae* 205.1 (July 1, 2016): 221-268.
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Bellaïche, J, and Dasgupta, S. "The p-adic L-functions of evil Eisenstein series." *Compositio Mathematica* 151.6 (January 1, 2015): 999-1040.
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Charollois, P, Dasgupta, S, and Greenberg, M. "Integral Eisenstein cocycles on GL<inf>n</inf>, II: Shintani's method." *Commentarii Mathematici Helvetici* 90.2 (January 1, 2015): 435-477.
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Dasgupta, S. "A conjectural product formula for Brumer-Stark units over real quadratic fields." *Journal of Number Theory* 133.3 (March 1, 2013): 915-925.
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Dasgupta, S, and Greenberg, M. "ℒ-invariants and Shimura curves." *Algebra and Number Theory* 6.3 (July 18, 2012): 455-485.
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Dasgupta, S, Darmon, H, and Pollack, R. "Hilbert modular forms and the Gross-Stark conjecture." *Annals of Mathematics* 174.1 (July 1, 2011): 439-484.
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Shira at the Algebraic CombinatoriXX II workshop at BIRS last summer Shira Viel I received my PhD from North Carolina State University under the direction of Nathan Reading. My thesis work was in algebraic and geometric combinatorics with a focus... read more »